Derivative and entropy: the only derivations from $C^1(\RR)$ to $C(\RR)$
Work
Year: 2011
Type: article
Abstract: Let $T:C^1(RR)\to C(RR)$ be an operator satisfying the derivation equation$T(f\cdot g)=(Tf)\cdot g + f \cdot (Tg),$where $f,g\in C^1(RR)$, and some weak additional assumption. Then $T$ must be of the ... more
Authors Vitali Milman, Hermann Köenig
Institution Tel Aviv University
Cites: 4
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Related to: 10
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Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze